From the persistence surface an \(mm\)  array of values is created by discretizing \(f(x,y)\)  into an \(m\)  by \(m\)  grid in a suitable range. This array can then by flattened to give a vector in \({R}^{m^2}\) . As in [1]} we apply a Gaussian kernel for \(h\)  with mean \(\mu =(b,p)\)  and fixed standard deviation \(\sigma \) .
